Concept

Méthode de Simpson

Publications associées (42)

Parallel mesh adaptive techniques for complex flow simulation

Dynamic mesh adaptation on unstructured grids, by localised refinement and derefinement, is a very efficient tool for enhancing solution accuracy and optimise computational time. One of the major drawbacks however resides in the projection of the new nodes ...

EPFL2008

A multi-iterate method to solve systems of nonlinear equations

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Frank Crittin

We propose an extension of secant methods for nonlinear equations using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least squares approach to calibrate the linear model. We propo ...

2007

FST-based Reconstruction of 3D-models from Non-Uniformly Sampled Datasets on the Sphere

Pascal Frossard, Ivana Tosic

This paper proposes a new method for reconstruction of star-shaped 3D surfaces from scattered datasets, where such surfaces are considered as signals living in the space of square integrable functions on the unit sphere. We first propose a generalization o ...

2006

A multi-iterate method to solve systems of nonlinear equations

Michel Bierlaire, Michaël Clément Louis Ghislain Thémans, Frank Crittin

2006

A class of multi-iterate methods to solve systems of nonlinear equations

Michel Bierlaire, Frank Crittin

A new class of methods for solving systems of nonlinear equations is introduced. The main idea is to build a linear model using a population of previous iterates. Contrarily to classical secant methods, where exact interpolation is used, we prefer a least ...

2004

New algorithmic methods for real-time transportation problems

Frank Crittin

Two of the most basic problems encountered in numerical optimization are least-squares problems and systems of nonlinear equations. The use of more and more complex simulation tools on high performance computers requires solving problems involving an incre ...

EPFL2004

Numerical analysis of a non-singular boundary integral method: Part II: The general case

Jacques Rappaz

In order to numerically solve the interior and the exterior Dirichlet problems for the Laplacian operator, we have presented in a previous paper a method which consists in inverting, on a finite element space, a non-singular integral operator for circular ...

2002

Numerical analysis of a non-singular boundary integral method: Part I. The circular case

Jacques Rappaz

In order to numerically solve the interior and the exterior Dirichlet problems for the Laplacian operator, we present here a method which consists in inverting, on a finite element space, a non-singular integral operator. This operator is a geometrical per ...

2001

ab-plane optical spectra of iodine-intercalated Bi1.9Pb0.1Sr2CaCu2O8+delta: Normal and superconducting properties

Giorgio Margaritondo, Helmuth Berger

We report on the ab-plane optical reflectance of an iodine-intercalated Bi1.9Pb0.1Sr2CaCu2O8+delta single crystal in the 80-40000 cm(-1) (10 meV-5 eV) frequency range and at temperatures between 10 and 300 K. As compared to the iodine-free Bi2Sr2CaCu2O8+de ...

1999

From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex

Jan Sickmann Hesthaven

The electrostatic interpretation of the Jacobi-Gauss quadrature points is exploited to obtain interpolation points suitable for approximation of smooth functions defined on a simplex. Moreover, several new estimates, based on extensive numerical studies, f ...

Society for Industrial and Applied Mathematics1998

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